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Finding the Fourth Proportional to 30,258.83, 45,388.56 and 9,202.29

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Solution

The fourth proportional to 30,258.83, 45,388.56 and 9,202.29 is: 13,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.83 : 45,388.56 = 9,202.29 : x
  2. Step 2: Convert to fraction form
    30,258.83/45,388.56 = 9,202.29/x
  3. Step 3: Cross multiply
    30,258.83x = 45,388.56 × 9,202.29
  4. Step 4: Simplify right side
    30,258.83x = 417,678,691.80
  5. Step 5: Solve for x
    x = 417,678,691.80/30,258.83
  6. Step 6: Final answer
    x = 13,803.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.